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Finding the Fourth Proportional to 6,153.84, 9,230.67 and 1,993.98

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Solution

The fourth proportional to 6,153.84, 9,230.67 and 1,993.98 is: 2,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.84 : 9,230.67 = 1,993.98 : x
  2. Step 2: Convert to fraction form
    6,153.84/9,230.67 = 1,993.98/x
  3. Step 3: Cross multiply
    6,153.84x = 9,230.67 × 1,993.98
  4. Step 4: Simplify right side
    6,153.84x = 18,405,771.37
  5. Step 5: Solve for x
    x = 18,405,771.37/6,153.84
  6. Step 6: Final answer
    x = 2,990.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.